7.4 Cross product

If   $u\ \cdot v\ =\ 0$ , then  $u\ =\ 0\$  and  $v\ =\ 0$ . 

• True 

• False

Calculate the cross product of <1, -2, 1> and <2, -1,1>

• 5

• 3

• < -1, -1, 3>

• < -1, 1, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

The cross products solution is a vector that is orthogonal to both of the cross products components

• True
• False

Given parallel vectors u and v. Answer ALL that apply

• their scalar product is zero

• their scalar product is either 1 or -1

• u is a scalar multiple of v

• magnitude of u equals the magnitude of v

• their cross product is 0

Which vector operation is commutative?

• Dot Product

• Vector Projection

• Scalar Projection

• Cross Product

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

• -23i+7j-k

• 23i+7j-k

• -2i+j-7k

• -3i+7j-k

Tags

CCSS.HSN.VM.A.1

What is the answer when you take dot product between two vectors?

• a vector

• a scalar

• a vector and scalar

• nothing

The y value of the vector product is ________.

• -4

• 4

• 8

• -8

Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

• i + 3j -5k

• -i -3j +3k

• i -j -5k

• -i -j +3k

Tags

CCSS.HSN.VM.A.2

What is the area of the parallelogram spanned by the vectors a=<3,−3,1> and b=<4,9,2>?

• 56

• $5\sqrt{70}$

• $5\sqrt{62}$

• $\sqrt{454}$